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a. Find the direction in which the directional derivative of f(x,y), at the point (z, y) = (0,4), has a value of 1. %3D Please input your answer as a column vector.

a. Find the direction in which the directional derivative of f(x,y), at the point (z, y) = (0,4), has a value of 1. %3D Please input your answer as a column vector.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the vector field LY f(x, y) = 9e 9 #y a. Find the direction in which the directional derivative of f(x, y), at the point (x, y) = (0,4), has a value of 1. Please input your answer as a column vector. b. Identify one point at which the gradient of the function f(x, y) = 2æ² + 3y² – 6x – 5y is i + j. Give your answer in the form (x, y).
Transcribed Image Text:Consider the vector field LY f(x, y) = 9e 9 #y a. Find the direction in which the directional derivative of f(x, y), at the point (x, y) = (0,4), has a value of 1. Please input your answer as a column vector. b. Identify one point at which the gradient of the function f(x, y) = 2æ² + 3y² – 6x – 5y is i + j. Give your answer in the form (x, y).
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